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Finding the Third Proportional to 340,767 and 527,583.38

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Solution

The third proportional to 340,767 and 527,583.38 is: 816,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,767 : 527,583.38 = 527,583.38 : x
  2. Step 2: Convert to fraction form
    340,767/527,583.38 = 527,583.38/x
  3. Step 3: Cross multiply
    340,767x = 527,583.38 × 527,583.38
  4. Step 4: Simplify right side
    340,767x = 278,344,217,576.39
  5. Step 5: Solve for x
    x = 278,344,217,576.39/340,767
  6. Step 6: Final answer
    x = 816,816.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.